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Background: Coherent {\pi}0 photoproduction on heavy nuclei has beensuggested as a reliable tool to infer neutron skin thicknesses. To this aim,various experiments have been performed, especially on 208Pb. Purpose: Weanalyze the sensitivity of that reaction process to the nucleonic density, andespecially to the neutron skin thickness, for 12C, 40Ca and 208Pb, for whichreliable data exist, and on 116,124Sn, for which measurements have beenperformed in Mainz. We study also the role played by the {\pi}0-nucleusfinal-state interaction. Method: A model of the reaction is developed at theimpulse approximation considering either plane waves or distorted waves todescribe the {\pi}0-nucleus scattering in the outgoing channel. Results: Ourcalculations are in good agreement with existing data, especially for 208Pb.The sensitivity of the theoretical cross sections to the choice of thenucleonic density is small, and below the experimental resolution. Conclusions:Coherent {\pi}0 photoproduction is mostly an isoscalar observable that bares nopractical sensitivity to the neutron skin thickness. To infer that structureobservable it should be coupled to other reaction measurements, such aselectron scattering, or by comparing experiments performed on isotopes of thesame chemical element.

Theoretical analysis of the extraction of neutron skin thickness from coherent {\pi}0 photoproduction off nuclei